Pith Number

pith:2S3S2FJK

pith:2012:2S3S2FJKREIDSWMWEKZVYOW7IU

not attested not anchored not stored refs pending

Near critical catalyst reactant branching processes with controlled immigration

Amarjit Budhiraja, Dominik Reinhold

arxiv:1203.6879 v2 · 2012-03-30 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2S3S2FJKREIDSWMWEKZVYOW7IU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:14:08.769641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b72d152a891039599622b35c3adf453dc1338b6187542dab6e8a114f6bdc36

Aliases

arxiv: 1203.6879 · arxiv_version: 1203.6879v2 · doi: 10.48550/arxiv.1203.6879 · pith_short_12: 2S3S2FJKREID · pith_short_16: 2S3S2FJKREIDSWMW · pith_short_8: 2S3S2FJK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2S3S2FJKREIDSWMWEKZVYOW7IU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d4b72d152a891039599622b35c3adf453dc1338b6187542dab6e8a114f6bdc36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db405df315fbc86e34c1942335bdb53f16d4d858e5be714fbd7d9726c21001b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-30T18:16:35Z",
    "title_canon_sha256": "3cf38ec9ba6293d22fa717eaf64dd62443e390a9b812c3ea4b265dde1c62de64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6879",
    "kind": "arxiv",
    "version": 2
  }
}